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149837 is a prime number
BaseRepresentation
bin100100100101001101
321121112112
4210211031
514243322
63113405
71162562
oct444515
9247475
10149837
11a2636
1272865
135327c
143c869
152e5e2
hex2494d

149837 has 2 divisors, whose sum is σ = 149838. Its totient is φ = 149836.

The previous prime is 149827. The next prime is 149839. The reversal of 149837 is 738941.

149837 is nontrivially palindromic in base 3 and base 15.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 148996 + 841 = 386^2 + 29^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-149837 is a prime.

It is a super-2 number, since 2×1498372 = 44902253138, which contains 22 as substring.

Together with 149839, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 149837.

It is not a weakly prime, because it can be changed into another prime (149839) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 74918 + 74919.

It is an arithmetic number, because the mean of its divisors is an integer number (74919).

2149837 is an apocalyptic number.

It is an amenable number.

149837 is a deficient number, since it is larger than the sum of its proper divisors (1).

149837 is an equidigital number, since it uses as much as digits as its factorization.

149837 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6048, while the sum is 32.

The square root of 149837 is about 387.0878453271. The cubic root of 149837 is about 53.1136755562.

The spelling of 149837 in words is "one hundred forty-nine thousand, eight hundred thirty-seven".